Abstract
In the framework of cooperative game theory, Sobolev (Advances in game theory, Izdat., “Minitis”, Vilnius, pp 151–153, 1973) axiomatized the well-known Shapley value by means of consistency property with reference to a specifically chosen reduced game. The goal of this paper is to generalize Sobolev’s consistency approach to the class of efficient, symmetric and linear values.
Original language | English |
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Pages (from-to) | 343-357 |
Number of pages | 15 |
Journal | Journal of the Operations Research Society of China |
Volume | 9 |
Issue number | 2 |
Early online date | 28 Nov 2019 |
DOIs | |
Publication status | Published - 1 Jun 2021 |
Keywords
- Cooperative game
- Linear value
- Reduced game
- Shapley value
- Sobolev’s consistency
- 22/2 OA procedure